TY - JOUR
T1 - Discrete fixed point theorem reconsidered
AU - Iimura, Takuya
AU - Murota, Kazuo
AU - Tamura, Akihisa
N1 - Funding Information:
This work is supported by Grants-in-Aid for Scientific Research from the Ministry of Education, Culture, Sports, Science and Technology of Japan, and the 21st Century COE Program on Information Science and Technology Strategic Core. We thank A. Kajii and T. Ui for discussion.
PY - 2005/12
Y1 - 2005/12
N2 - The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura's discrete fixed point theorem [Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725-742] and to present a corrected statement using the concept of integrally convex sets.
AB - The aim of this note is to indicate an example that demonstrates the incorrectness of Iimura's discrete fixed point theorem [Iimura, T., 2003. A discrete fixed point theorem and its applications. Journal of Mathematical Economics 39, 725-742] and to present a corrected statement using the concept of integrally convex sets.
KW - Discrete set
KW - Fixed point theorem
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U2 - 10.1016/j.jmateco.2005.03.001
DO - 10.1016/j.jmateco.2005.03.001
M3 - Article
AN - SCOPUS:27744567284
SN - 0304-4068
VL - 41
SP - 1030
EP - 1036
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
IS - 8
ER -